Question

Find the optimal solution with the maximum principle $\max_{\{u_t\}{T\\ t=0}} \ \ \sum_{t = 0}^{T}-\frac{1}{2}(x_t^2+u_t^2)$

score 32 · Answer 1 · 2020-10-06 15:28:09

32

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Find the optimal solution with the maximum principle $\max_{\{u_t\}{T\\ t=0}} \ \ \sum_{t = 0}^{T}-\frac{1}{2}(x_t^2+u_t^2)$

Published on 06 Oct 2020 - 15:28

score 145 · Answer 2 · 2020-10-07 07:01:56

145

Views

Does the matrix exponential $\|\mathrm{e}^{(D-\kappa I)\tau}\|_{l^\infty}$ equal $\mathrm{e}^{-\kappa \tau}$?

Published on 07 Oct 2020 - 7:01

score 103 · Answer 3 · 2020-10-13 13:52:12

103

Views

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score 216 · Answer 4 · 2020-10-20 18:54:37

216

Views

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score 84 · Answer 5 · 2020-10-23 17:46:51

84

Views

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score 48 · Answer 6 · 2020-10-30 17:28:17

48

Views

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score 212 · Answer 7 · 2020-10-30 18:56:29

212

Views

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score 46 · Answer 8 · 2020-11-03 14:20:06

46

Views

An analytic function having maximum modulus inside a domain

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score 151 · Answer 9 · 2020-11-19 16:12:39

151

Views

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score 151 · Answer 10 · 2020-11-20 15:16:13

151

Views

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score 258 · Answer 11 · 2026-02-23 05:58:26

258

Views

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score 77 · Answer 12 · 2026-02-23 06:00:36

77

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score 125 · Answer 13 · 2020-12-02 01:52:33

125

Views

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score 48 · Answer 14 · 2020-12-07 10:49:45

48

Views

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score 117 · Answer 15 · 2020-12-10 20:30:36

117

Views

Show that $f(z)=\sum_{k=1}^{n}|f_{k}(z)|$ cannot achieve a strictly local maximum inside a connected open set $D$.

Published on 10 Dec 2020 - 20:30

List Question

Find the optimal solution with the maximum principle $\max_{\{u_t\}{T\\ t=0}} \ \ \sum_{t = 0}^{T}-\frac{1}{2}(x_t^2+u_t^2)$

Does the matrix exponential $\|\mathrm{e}^{(D-\kappa I)\tau}\|_{l^\infty}$ equal $\mathrm{e}^{-\kappa \tau}$?

On maximum principle for parabolic equations

Proof related to maximum value property of harmonic function (PDEs)

Question on maximum principle

Verification of answer of Maximum Modulus Principle

A question based on maximum modulus principle

An analytic function having maximum modulus inside a domain

Given sum of 4 variables as a constant, how to maximize the sum of products?

An inequality in the proof of Hopf's lemma about the directional derivative at the boundary

A comparison principle for Eikonal equation with viscosity solution

About an application of maximum principle for viscosity solutions

Maximum module principle

Solution verification - Application of maximum modulus principle

Show that $f(z)=\sum_{k=1}^{n}|f_{k}(z)|$ cannot achieve a strictly local maximum inside a connected open set $D$.

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